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Quantum-chaotic scattering effects in semiconductor microstructures

Chaos 3, 665 (1993); doi:10.1063/1.165928

Issue Date: October 1993

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Harold U. Baranger
AT&T Bell Laboratories 1D-230, 600 Mountain Avenue, Murray Hill, New Jersey 07974-0636

Rodolfo A. Jalabert
Division de Physique Théorique,a) Institut de Physique Nucléaire, F-91406 Orsay Cedex, France

A. Douglas Stone
Applied Physics, Yale University, P.O. Box 208284, New Haven, Connecticut 06520-8284
We show that classical chaotic scattering has experimentally measurable consequences for the quantum conductance of semiconductor microstructures. These include the existence of conductance fluctuations—a sensitivity of the conductance to either Fermi energy or magnetic field—and weak-localization—a change in the average conductance upon applying a magnetic field. We develop a semiclassical theory and present numerical results for these two effects in which we model the microstructures by billiards attached to leads. We find that the difference between chaotic and regular classical scattering produces a qualitative difference in the fluctuation spectrum and weak-localization lineshape of chaotic and nonchaotic structures. While the semiclassical theory within the diagonal approximation accounts well for the weak-localization lineshape and for the spectrum of the fluctuations, we uncover a surprising failure of the semiclassical diagonal-approximation theory in describing the magnitude of these quantum transport effects. Chaos: An Interdisciplinary Journal of Nonlinear Science is copyrighted by The American Institute of Physics.
History: Received 30 July 1993; accepted 13 October 1993
Permalink: http://link.aip.org/link/?CHAOEH/3/665/1
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KEYWORDS and PACS

Keywords
PACS
  • 72.20.Dp
    Electronic transport in condensed matter Conductivity phenomena in semiconductors and insulators General theory, scattering mechanisms
  • 05.45.+b
    Statistical physics and thermodynamics Theory and models of chaotic systems
  • 03.80.+r
    Classical and quantum physics: mechanics and fields General theory of scattering
  • 03.65.Nk
    Classical and quantum physics: mechanics and fields Quantum theory; quantum mechanics Nonrelativistic scattering theory
  • YEAR: 1993

PUBLICATION DATA

ISSN:
1054-1500 (print)   1089-7682 (online)
Publisher:
AIP is a member of CrossRef AIP

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